(x-1)>(x+1)²-4
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(x-1)>(x+1)²-4
(x-1)>(x+1)²-4
(x-1)>(x+1)²-4
原式可化为 (x-1)>x²+2x+1-4
化简得 x²+x-2
设t=x+1
原式可化为
t-2>t^2-4
t^2-t-2<0
(t+1)(t-2)<0
代入
(x+2)(x-1)<0
-2<x<1